What Is The Value Of Y In The Solution To The System Of Equations?1 X + 2 Y = 12x 3y = -300-80-303O 8 (2024)

Answer:

The study of the measurement, relationships, and properties of quantities and sets, using numbers and symbols.

Step-by-step explanation:

Cosine is adjacent/hypotenuse
The adjacent side is 13.4 feet
The hypotenuse is 17.4 feet

13.4/17.4

Answer:

= 14x +8

Step-by-step explanation:

For the equation in one variable to have infinitely many solutions, it must be true for all values of x. That is, the left side and the right side must simplify to identical expressions.

The left side simplifies to ...

12x -x +8 +3x = (12 -1 +3)x +8 = 14x +8

So, we can give the equation infinitely many solutions if the right side is 14x +8:

12x -x +8 +3x = 14x +8 . . . . has infinitely many solutions

Answer:

60

Step-by-step explanation:

If we look at the picture, we can see that its a right angle having a 90 degree.

We can make a equation with this as we know that m1 and m2 has to equal 90

x + y = 90

Since we know that m2 = 30 we can plug 30 for x

(30) + y = 90

Now we simply moving the 30 to the 90

y = 90 - 30

y = 60

Answer:

Step-by-step explanation:

Answer:

x + 3y = 15

Step-by-step explanation:

Line is passing through the points [tex](3, \:4) = (x_1,\:y_1)\:and\: (9, 2)=(x_2,\:y_2)[/tex]

Slope of line (m)= (2 - 4)/(9 - 3) = -2/6 = -1/3

Equation of line in point-slope form is given as:

[tex]y-y_1 =m(x-x_1)[/tex]

Plugging the values of [tex]x_1,\: y_1\: and \: m[/tex] in the above equation we find:

[tex]y-4 =-\frac{1}{3}(x-3)[/tex]

[tex]\implies 3y-12 =-x+3[/tex]

[tex]\implies x+ 3y =12+3[/tex]

[tex]\implies \huge {\orange{\boxed{x+ 3y = 15}}}[/tex]

This is the required equation of line in the form [tex]\red{\bold{ax + by = c}} [/tex]

Answer:

D

Step-by-step explanation:

to find a term in the sequence multiply the previous term by r , then

a₄ = - 8 , so

a₅ = - 8 × 0.5 = - 4

a₆ = - 4 × 0.5 = - 2

The sixth term of the sequence will be negative 2. Then the correct option is D.

What is a geometric sequence?

Let a₁ be the first term and r be the common ratio.

Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

The fourth term (a₄) is negative 8 and the common ratio is 0.5.

Then the sixth term will be

For n = 5, we have

a₅ = a₁ · (r)⁵⁻¹

a₅ = a₁ · (r)⁴

a₅ = a₁ · r³ · r

a₅ = a₄ · r

a₅ = -8 · 0.5

a₅ = -4

Then the sixth term of the sequence will be

a₆ = a₁ · (r)⁶⁻¹

a₆ = a₁ · (r)⁵

a₆ = a₁ · r⁴ · r

a₆ = a₅ · r

a₆ = -4 · 0.5

a₆ = -2

The sixth term of the sequence will be negative 2.

Then the correct option is D.

More about the geometric sequence link is given below.

https://brainly.com/question/11266123

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Answer:

d because a straight line has the angle of 180

The distance between the two points pictured will be [tex]\sqrt{61}[/tex].

What is the distance between the two points?

The length of the line segment connecting two places is the distance between them.

The distance between two places is always positive, and equal-length segments are referred to as congruent segments.

The given coordinate in the problem is;

(x₁,y₁)= (-3,-2)

(x₂,y₂)=(2,4)

The distance between the two points is found as;

[tex]\rm d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\ \rm d= \sqrt{(2-(-3))^2+(4-(-2)^)^2} \\\\ \rm d=\sqrt{5^2+6^2} \\\\ \rm d=\sqrt{61}[/tex]

Hence the distance between the two points pictured will be [tex]\sqrt{61}[/tex].

To learn more about the distance between the two points refer to;

https://brainly.com/question/16410393

Answer:

n=61

Step-by-step explanation:

Answer:

sqrt(37) = arpox 6.1

Step-by-step explanation:

sqrt(1^2+6^2) = sqrt(37)

Answer:

1: 1; 3: 4; 5: 3

Step-by-step explanation:

when you have a negative exponent it basically is the regular exponent but the number is put over one

so 2^-2 is 1/2^2 which is 1/4

1/4 * 4 is 1

then for three

you have

(1/2)^-1

when the number is a fraction and you have a negative exponent you can put the number on the top

so this is 2

2 * 2 is 4

for the last one

anything times 0 is 1

this means that the answer is 3

Answer:

1. 1

3. 4

5. 3

Step-by-step explanation:

3.y= 2 (1/2)^x where x= -2

1/2=2^-1

(2^-1)^-1

-1×-1

=1

=2^1

2 (2)

=4

1. y=4 (2)^x

2^-2

1/2^2

=1/4

=4×1/4

=1

5.y=3 (1/3)^X

1/3=3^-1

(3^-1)^0

3^0

=1

3(1)

=3

Answer: See below

Step-by-step explanation:

4) [tex]p(5.8 < x < 8.8)=0.7838[/tex] (By calculator)

5) [tex]p(x \leq 4.8)=0.0032[/tex] (By calculator)

6) [tex]P(x > 9.8 \text { or } x < 5.8)= P(x < 5.8)+P(x > 980)[/tex]

[tex]\begin{array}{ll}\text { Now } \quad & P(x > 9.8)=0.0345 \\\text { and } \quad & P(x < 5.8)=0.0345\end{array}[/tex]

[tex]p(x > 9: 8 \text { or } x < 5.8)=0.069[/tex]

7) No, there are no outliers in the data set

Answer:

[tex]4[/tex]

Step-by-step explanation:

[tex]\ln e^4= 4\ln e = 4 \log_e e = 4 \times 1 = 4[/tex]

The value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20

What are perfect squares trinomials?

They are those expressions which are found by squaring binomial expressions.

Since the given trinomials are with degree 2, thus, if they are perfect square, the binomial which was used to make them must be linear.

Let the binomial term was ax + b(a linear expression is always writable in this form where a and b are constants and m is a variable), then we will obtain:

[tex](ax + b)^2 = a^2x^2 + b^2 + 2abx[/tex]

Comparing this expression with the expression we're provided with:

[tex]x^2 + 10x + c[/tex]

we see that:

[tex]a^2 = 1 \implies a = \pm 1\\b^2 = 10\\b = \pm 10\\2ab = c\\\pm2(10)1 = c\\c = \pm 20\\[/tex]

Thus, the value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20

Learn more about perfect square trinomials here:

https://brainly.com/question/88561

Answer:

6.5

Step-by-step explanation:

all you have to do is substitute x with 2.5 in the equation and you can find y.

Answer:

Step-by-step explanation:

Side₁ = 1.8 +3.2 = 5 cm

Side₂ = 3 cm

Side₃ = 4 cm

Perimeter of triangle = sum of all the three sides

= 5 + 3 + 4

= 12 cm

[tex]\boxed{\text{Area of triangle =$\dfrac{1}{2}*base * height$}}[/tex]

[tex]=\dfrac{1}{2}*5*2.4\\\\\\= 5*1.2\\\\= 6 \ cm^{2}[/tex]

Answer:

30.7%, 0.3, or 4/13

Step-by-step explanation:

The correct procedure for this problem is:

The number of men that passed the test and the number of men should be located as the numerator and denominator of the fractional number.12/39 is our fraction, which we can reduce to 4/13We can change it to a percent and a decimal, which would be 30.7% and 0.3.

Step-by-step explanation:

a. Area of a circle = πr², where r means radius.

Step 1: converted diameter to radius.

diameter = 2 radius

In other way of writing, radius = [tex]\frac{1}{2}[/tex] diameter.

Step 2: substitute radius into the formula.

Area of a circle = π([tex]\frac{1}{2}[/tex]d)²

Step 3: substitute π into the formula.

some question is given the value of π), if not substitute 3.14 for π.

Area of a circle = 3.14([tex]\frac{1}{2}[/tex]d)²

Step 4: substitute d into the formula, then we can solve its area.

b. a. Circumference of a circle = 2πr, where r means radius.

Step 1: converted diameter to radius.

diameter = 2 radius

In other way of writing, radius = [tex]\frac{1}{2}[/tex] diameter.

Step 2: substitute radius into the formula.

C = 2π([tex]\frac{1}{2}[/tex]d)

Step 3: substitute π into the formula.

some question is given the value of π), if not substitute 3.14 for π.

C = 2(3.14)([tex]\frac{1}{2}[/tex]d)

Step 4: substitute d into the formula, then we can solve its circumference.

Answer:

15

Step-by-step explanation:

To answer this, simply input your values into the equation:

Since b is given as 1.5, and c is given as 5, you put it into the calculation 2bc

so, you would do 2x1.5x5

which is equal to 15

Answer: 15

Step-by-step explanation: Multiply it. You have 2bc, b=1.5, c=5 plug those values into 2bc. You should get 2(1.5)(5) and that'll be 15.

Answer:

10 kg

Step-by-step explanation:

Let x be the mass of her cat.

1)

2x + 6 = 16

2x = 16 - 6

2x = 10

x = 10/2

x = 5

2)

2(5)

= 10

Answer:10kg

Step-by-step explanation:

Answer:

yes, it is

Step-by-step explanation:

10 = 4(2) + 2

10 = 8 +2

10 = 10

10 = 2 + 8

10 = 10

Answer:

The answer is yes

*View the attached graph to check your answer graphically.*

Step-by-step explanation:

y = 4x + 2

y = x + 8

For this problem, I will be using substitution, since the second equation is already in the slope-intercept form.

First, I will substitute the second equation, for y, in the first equation:

y = 4x + 2

y = x + 8

x + 8 = 4x + 2

Next, subtract 4x from both sides to isolate x:

x + 8 = 4x + 2

-4x -4x

-3x + 8 = 2

Then, subtract 8 from both sides:

-3x + 8 = 2

- 8 - 8

-3x = -6

Now, divide both sides by -3:

-3x = -6

/-3 /-3

x = 2

Now, we find the value of y by substituting 2 for x:

y = 4x + 2

y = 4(2) + 2

y = 8 + 2

y = 10

(x, y) ==> (2, 10)

Therefore, yes (2,10) is a solution to this system of equations.

*View the attached graph to check your answer graphically.*

Hope this helps!

hello!

What is [tex]\sf{\displaystyle\frac{1}{4}}[/tex] of 12?

In order to find it, we should divide 12 by 4:-

3

Now, solve our word problem:-

Matthew bought 12 roses. [tex]\sf{\displaystyle\frac{1}{4} }[/tex] of these roses were white.

And we already know how to solve this problem :)

Hence,

[tex]\bigstar{\boxed{\pmb{3~of~the~roses~were~white}}}[/tex]

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Let's see

[tex]\\ \bf\bull\rightarrowtail z^2-9[/tex]

[tex]\\ \bf\bull\rightarrowtail z^2-3^2[/tex]

(a+b)(a-b)=a^2-b^2

[tex]\\ \bf\bull\rightarrowtail (z+3)(z-3)[/tex]

Answer:

(z+3)(z-3)

Step-by-step explanation:

a^2 - b^2 = (a+b)(a-b) where a = z and b= 3

Answer:

r=1.3in

Step-by-step

hope this helps:)

With the given budget, the inequality that must be used is:

$5.5*s ≤ $350

Which inequality is the correct one?

We know that the budget is $500.

Then, we know that there is a fixed cost of $150, then the budget left is:

$500 - $150 = $350

With these $350 they pay the food for the students, which costs $5.50 per student.

So the number of students that can go must be such that:

s*$5.50 ≤ $350

There says that the cost in food for the s students must be smaller than or equal to the remaining $350.

So the correct option is the second one.

If you want to learn more about inequalities, you can read:

https://brainly.com/question/18881247

Answer:

ο Neither is correct.

Step-by-step explanation:

1) the vertex has coordinates (5;-7) the equation must be made up according to the rule: y=(x-x₀)²-y₀, where (x₀;y₀) - the coordinates of the vertex;

2) according to the rule above the equation of the given graph is:

y=(x-5)²-7;

3) finally, 'neither is correct'

ANSWER: 8x^4 +64x^3 + 98x^2 +30x

Work in image.